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130241592100 = 225215122392
BaseRepresentation
bin111100101001100000…
…0001111101100100100
3110110011202112101200101
41321103000033230210
54113213321421400
6135455425153444
712260336160334
oct1712300175444
9413152471611
10130241592100
1150264a8a924
12212a978b884
13c387c62239
1464375d70c4
1535c418656a
hex1e5300fb24

130241592100 has 81 divisors (see below), whose sum is σ = 285703726161. Its totient is φ = 51535092000.

The previous prime is 130241592083. The next prime is 130241592121. The reversal of 130241592100 is 1295142031.

The square root of 130241592100 is 360890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46886973156 + 83354618944 = 216534^2 + 288712^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 544943781 + ... + 544944019.

Almost surely, 2130241592100 is an apocalyptic number.

130241592100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130241592100 is the 360890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130241592100

130241592100 is an abundant number, since it is smaller than the sum of its proper divisors (155462134061).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130241592100 is an equidigital number, since it uses as much as digits as its factorization.

130241592100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 130241592100 in words is "one hundred thirty billion, two hundred forty-one million, five hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 239 302 478 604 755 956 1195 1510 2390 3020 3775 4780 5975 7550 11950 15100 22801 23900 36089 45602 57121 72178 91204 114005 114242 144356 180445 228010 228484 285605 360890 456020 570025 571210 721780 902225 1140050 1142420 1428025 1804450 2280100 2856050 3608900 5449439 5712100 8625271 10898878 17250542 21797756 27247195 34501084 43126355 54494390 86252710 108988780 136235975 172505420 215631775 272471950 431263550 544943900 862527100 1302415921 2604831842 5209663684 6512079605 13024159210 26048318420 32560398025 65120796050 130241592100